The aim of the meeting is to discuss recent developments, techniques and open questions in the area of abelian varieties and their moduli spaces, modular forms, number theory and combinatorics, automo...
In this talk, I will present a new bound for solutions to the Poisson problem associated with the weighted one-Laplacian. The Aleksandrov–Bakelman–Pucci (ABP) estimate has long been a fundamental tool...
The spectral heat content (SHC) measures the total heat contained in a bounded domain at a given time when the initial temperature inside the domain is set to be one, and the temperature outside the d...
We investigate geometric and dynamical aspects of hyperbolic lattices arising from regular tilings with 1/p+1/q<1/2. We first characterize finite shapes with minimal perimeter and show that the rat...
A little over a decade ago, Taubes and his disciples started to observe non-compactness phenomena in gauge theories in dimensions three and four that are linked with multi-valued harmonic spinors, 1–f...
La matematica a Roma raggiunge il suo massimo sviluppo nei primi anni '20 del Novecento, quando viene variamente definita La Princeton degli anni '20 (Lefschetz) e Il Paradiso della geometria (Zariski...
Supersymmetric nonlinear sigma models arise in the theory of disordered systems and share key features with O(N)-type models. They also exhibit surprising connections with probabilistic models such as...
The Weyl energy on four-manifolds is a geometric functional related
to the Chern-Gauss-Bonnet formula. Similarly to Willmore’s functional
for surfaces embedded in the three-dimensional Euclidean spa...
In Kähler geometry, the Calabi-Yau theorem establishes the existence and uniqueness of Kähler metrics with prescribed volume form. In this talk, I will present a non-Archimedean version of this theore...
La storia della matematica a Roma, dall'Unità di Italia sino al termine della Prima Guerra Mondiale, è strettamente legata alla vita politica, sociale e culturale del Paese. Le sue vicende restituis...
In this talk, I will give a gentle introduction to the theory of motives, as developed by Voevodsky. I will focus on the basic ideas and main properties, explaining how motives are related to algebrai...
The Dirac equation is one of the fundamental equations in relativistic quantum mechanics, widely used in a large number of applications from physics to quantum chemistry. From the dynamical point of v...
